Automorphic varieties and Galois representations have performed a vital position within the improvement of recent quantity concept, with the previous coming to prominence through the prestigious Langlands application and Wiles' facts of Fermat's final Theorem. This two-volume assortment arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic kinds and Galois Representations' in July 2011, the purpose of which was once to discover contemporary advancements during this zone. The expository articles and learn papers around the volumes mirror fresh curiosity in p-adic tools in quantity thought and illustration thought, in addition to contemporary development on issues from anabelian geometry to p-adic Hodge thought and the Langlands application. the subjects lined in quantity comprise curves and vector bundles in p-adic Hodge conception, associators, Shimura forms, the birational part conjecture, and different issues of up to date curiosity.
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